One-third of the campers at Rosewood Performing Arts Camp play an instrument. Two-fifths of those campers play the guitar. What fraction of the campers at Rosewood Performing Arts Camp play the guitar?(1 point)
Let's call the total number of campers C.
One-third of the campers play an instrument, which means (1/3)C campers play an instrument.
Two-fifths of those campers play the guitar, which means (2/5)(1/3)C campers play the guitar.
Simplifying, we get (2/15)C campers playing the guitar.
Therefore, the fraction of campers playing the guitar is 2/15.
To find the fraction of campers at Rosewood Performing Arts Camp who play the guitar, we need to multiply the fractions representing the number of campers who play an instrument (one-third) and the proportion of those campers who play the guitar (two-fifths).
Fraction of campers who play the guitar = (1/3) * (2/5)
To multiply fractions, we simply multiply the numerators together and then multiply the denominators together:
= (1 * 2) / (3 * 5)
= 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.